Prove2Me

`BookProof.NavierStokesFlow.FullEsa.exists_nsFullData_not_hasZeroDeficiencyOn` : ∃ d : NSFullData L2N, ¬ HasZeroDeficiencyOn d.D d.hamiltonian

Proved
BookProof.NavierStokesFlow.FullEsa.exists_nsFullData_not_hasZeroDeficiencyOn

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFullEsa.

BookProof.NavierStokesFlow.FullEsa.exists_nsFullData_not_hasZeroDeficiencyOn : ∃ d : NSFullData L2N, ¬ HasZeroDeficiencyOn d.D d.hamiltonian

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FullEsa.exists_nsFullData_not_hasZeroDeficiencyOn.

Preamble
-- Generated from ChapterNavierStokesFullEsa.lean — theorem BookProof.NavierStokesFlow.FullEsa.exists_nsFullData_not_hasZeroDeficiencyOn
import Mathlib
import Definitions.Def_ChapterNavierStokesFullEsa
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow.DiagonalEsa
open BookProof.NavierStokesFlow.JacobiDeficiency
open BookProof.NavierStokesFlow.LpNat
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FullEsa


open scoped ENNReal

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {D : Submodule ℂ F}
variable (d : NSFullData F)
Formal statement
theorem BookProof.NavierStokesFlow.FullEsa.exists_nsFullData_not_hasZeroDeficiencyOn :
    ∃ d : NSFullData L2N, ¬ HasZeroDeficiencyOn d.D d.hamiltonian := by sorry

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